Question

Point J(8, 5) was translated as follows: J(8, 5) J’(2, 9). A student wrote the algebraic rule to describe the translation as . Evaluate the student’s answer. A. Incorrect; the student should add 8 + 2 to calculate the x-coordinate and should add 5 + 9 to calculate the y-coordinate. B. Incorrect; the student added 4 to the y-coordinate instead of subtracting 4 from the y-coordinate. C. Incorrect; the student added 6 to the x-coordinate instead of subtracting 6 from the x-coordinate. OF. The student’s answer is correct.

Answer 1

A is your answer no doubt

Answer 2

Answer:

$(x,y)\rightarrow (x-6,y+4)$

Step-by-step explanation:

The rule of translation is defined as

$P(x,y)\rightarrow P'(x+a,y+b)$

where, a is horizontal shift and b is vertical shift.

The given point is J(8,5). After a translation the image of point J is J'(2,9).

$J(8,5)\rightarrow J'(8+a,5+b)$

The image of point J is J'(2,9).

$J'(8+a,5+b)=J'(2,9)$

On comparing both sides we get

$8+a=2$

$a=2-8$

$a=-6$

The value of a is -6.

$5+b=9$

$b=9-5$

$b=4$

The value of b is 4.

The rule of translation is

$(x,y)\rightarrow (x-6,y+4)$

It means 6 should be subtracted from x-coordinate and 4 should be added to the y-coordinate.